Problem S. PreQueL

Author:Far-Eastern Subregional   Time limit:3 sec
Input file:input.txt   Memory limit:8 Mb
Output file:output.txt  


In some simplistic DBMS named PreQueL, the only column type allowed is CHAR(1) (a single character), and furthermore, its values are restricted to English upper- case letters (eAi to eZi). Table may contain up to 9 columns, numbered from 1 to 9. Tables themselves are named with lower-case English letters (eai to ezi).

The only database query possible first joins all the tables, then selects some rows according to conditions in one of two forms: either <column>=<value> or <column1>=<column2>, for example a2=A or b1=c4. All conditions must hold simultaneously, as if they were connected by eANDi operator.

You must write a PreQueL processor, which, given a tables and a set of conditions, will produce query result, i.e. those rows of a join satisfying all the conditions. Resulting rows must be sorted alphabetically.

Input file format

The first line of input file contains of two integers o number of tables T and number of conditions D.

Starting from the second line there are T tables represented with number of rows RN and number of columns CN in the first line of a table, which is followed by RN lines consisting of exactly CN characters each. D lines with conditions follow the whole set of tables.

Output file format

Output file contains result rows, one row per line. No input query will produce more than 1000 rows.


1 ≤ T ≤ 26, 1 ≤ D ≤ 50, 1 ≤ CN ≤ 9, 1 ≤ RN ≤ 1000.

Sample tests

No. Input file (input.txt) Output file (output.txt)
2 2
3 2
2 3

0.039s 0.007s 15